Viral dynamics of an HIV model with pulse antiretroviral therapy and adherence

Volume 11, Issue 4, pp 516--528 http://dx.doi.org/10.22436/jnsa.011.04.08
Publication Date: March 19, 2018 Submission Date: September 18, 2017 Revision Date: November 17, 2017 Accteptance Date: January 29, 2018

Authors

Youping Yang - School of Mathematics and Statistics, Shandong Normal University, Jinan, 250014, P. R. China.


Abstract

An immunological model of HIV-1 infection that accounts for antiretroviral drug uptake via explicit compartments is considered. Different from traditional methods where the drug effects is modeled implicitly as a proportional inhibition of viral infection and production, in this paper, it is assumed that the CD4\(^+\) T cells can 'prey on' the antiretroviral drugs and become the cells which cannot be infected or produce new virions. Drug dymamics is modeled applying impulsive differential equations. The basic reproductive number \(R_0\) is defined via the next infection operator. It is shown that with perfect adherence the virus can be eradicated permanently if \(R_0\) is less than unity, otherwise, the virus can persist by applying persistent theory. The effects of imperfect adherence are also explored. The results indicate that even for the same degree of adherence, different adherence patterns may lead to different therapy outcomes. In particular, for regular dosage missing, the more dosages are consecutively missed, the worse therapy outcomes will be.


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ISRP Style

Youping Yang, Viral dynamics of an HIV model with pulse antiretroviral therapy and adherence, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 4, 516--528

AMA Style

Yang Youping, Viral dynamics of an HIV model with pulse antiretroviral therapy and adherence. J. Nonlinear Sci. Appl. (2018); 11(4):516--528

Chicago/Turabian Style

Yang, Youping. "Viral dynamics of an HIV model with pulse antiretroviral therapy and adherence." Journal of Nonlinear Sciences and Applications, 11, no. 4 (2018): 516--528


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